Richard I. Avery

1.4k total citations
40 papers, 1.1k citations indexed

About

Richard I. Avery is a scholar working on Applied Mathematics, Numerical Analysis and Geometry and Topology. According to data from OpenAlex, Richard I. Avery has authored 40 papers receiving a total of 1.1k indexed citations (citations by other indexed papers that have themselves been cited), including 32 papers in Applied Mathematics, 16 papers in Numerical Analysis and 16 papers in Geometry and Topology. Recurrent topics in Richard I. Avery's work include Nonlinear Differential Equations Analysis (31 papers), Fixed Point Theorems Analysis (15 papers) and Stability and Controllability of Differential Equations (10 papers). Richard I. Avery is often cited by papers focused on Nonlinear Differential Equations Analysis (31 papers), Fixed Point Theorems Analysis (15 papers) and Stability and Controllability of Differential Equations (10 papers). Richard I. Avery collaborates with scholars based in United States, Ireland and Taiwan. Richard I. Avery's co-authors include Johnny Henderson, Allan Peterson, Douglas R. Anderson, John M. Davis, Donal O’Regan, Xueyan Liu, Lewis L. Judd, Paul W. Eloe and John R. Graef and has published in prestigious journals such as SHILAP Revista de lepidopterología, Journal of Mathematical Analysis and Applications and Computers & Mathematics with Applications.

In The Last Decade

Richard I. Avery

37 papers receiving 870 citations

Peers — A (Enhanced Table)

Peers by citation overlap · career bar shows stage (early→late) cites · hero ref

Name h Career Trend Papers Cites
Richard I. Avery United States 14 1.0k 557 247 216 197 40 1.1k
P. Ch. Tsamatos Greece 16 992 1.0× 548 1.0× 282 1.1× 91 0.4× 234 1.2× 49 1.0k
Rodrigo López Pouso Spain 15 628 0.6× 364 0.7× 133 0.5× 312 1.4× 146 0.7× 63 875
Donal O’Regan Ireland 12 959 1.0× 626 1.1× 264 1.1× 153 0.7× 350 1.8× 45 1.1k
Hong‐Rui Sun China 15 639 0.6× 290 0.5× 159 0.6× 81 0.4× 227 1.2× 57 687
Cheh‐Chih Yeh Taiwan 16 835 0.8× 500 0.9× 177 0.7× 62 0.3× 144 0.7× 65 914
Bıllûr Kaymakçalan Türkiye 15 756 0.8× 258 0.5× 242 1.0× 172 0.8× 270 1.4× 46 858
George L. Karakostas Greece 15 671 0.7× 324 0.6× 129 0.5× 131 0.6× 151 0.8× 48 776
Irena Rachůnková Czechia 15 739 0.7× 553 1.0× 139 0.6× 130 0.6× 129 0.7× 101 874
M. Benchohra United States 8 904 0.9× 351 0.6× 413 1.7× 106 0.5× 493 2.5× 17 997
Bapurao C. Dhage Greece 22 1.3k 1.3× 524 0.9× 183 0.7× 751 3.5× 920 4.7× 121 1.6k

Countries citing papers authored by Richard I. Avery

Since Specialization
Citations

This map shows the geographic impact of Richard I. Avery's research. It shows the number of citations coming from papers published by authors working in each country. You can also color the map by specialization and compare the number of citations received by Richard I. Avery with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Richard I. Avery more than expected).

Fields of papers citing papers by Richard I. Avery

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Richard I. Avery. Nodes represent research fields, and links connect fields that are likely to share authors. Colored nodes show fields that tend to cite the papers produced by Richard I. Avery. The network helps show where Richard I. Avery may publish in the future.

Co-authorship network of co-authors of Richard I. Avery

This figure shows the co-authorship network connecting the top 25 collaborators of Richard I. Avery. A scholar is included among the top collaborators of Richard I. Avery based on the total number of citations received by their joint publications. Widths of edges represent the number of papers authors have co-authored together. Node borders signify the number of papers an author published with Richard I. Avery. Richard I. Avery is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

20 of 20 papers shown
1.
Avery, Richard I., Douglas R. Anderson, & Johnny Henderson. (2023). Decomposing a Conjugate Fixed-Point Problem into Multiple Fixed-Point Problems. Dynamic Systems and Applications. 32(1).
2.
Anderson, Douglas R. & Richard I. Avery. (2015). EXISTENCE OF A SOLUTION TO A CONJUGATE BOUNDARY VALUE PROBLEM APPLYING A COROLLARY OF THE OMITTED RAY FIXED POINT THEOREM. 19(3). 1 indexed citations
3.
Anderson, Douglas R., Richard I. Avery, Johnny Henderson, & Xueyan Liu. (2011). Operator type expansion-compression fixed point theorem. SHILAP Revista de lepidopterología. 2 indexed citations
4.
Avery, Richard I., Douglas R. Anderson, & Johnny Henderson. (2011). Some fixed point theorems of Leggett-Williams type. Rocky Mountain Journal of Mathematics. 41(2). 4 indexed citations
5.
Anderson, Douglas R., Richard I. Avery, & Johnny Henderson. (2010). Functional expansion - compression fixed point theorem of Leggett-Williams type. SHILAP Revista de lepidopterología. 13 indexed citations
6.
Avery, Richard I., Johnny Henderson, & Douglas R. Anderson. (2010). Existence of a positive solution to a right focal boundary value problem. Electronic journal of qualitative theory of differential equations. 1–6. 9 indexed citations
7.
Anderson, Douglas R., et al.. (2010). Existence of a positive solution for a right focal discrete boundary value problem. The Journal of Difference Equations and Applications. 17(11). 1635–1642. 7 indexed citations
8.
Avery, Richard I., Johnny Henderson, & Donal O’Regan. (2008). Four functionals fixed point theorem. Mathematical and Computer Modelling. 48(7-8). 1081–1089. 12 indexed citations
9.
Anderson, Douglas R., Richard I. Avery, & John M. Davis. (2003). Existence and uniqueness of solutions to discrete diffusion equations. Computers & Mathematics with Applications. 45(6-9). 1075–1085. 7 indexed citations
10.
Avery, Richard I. & Johnny Henderson. (2003). Existence of three positive pseudo-symmetric solutions for a one dimensional p-Laplacian. Journal of Mathematical Analysis and Applications. 277(2). 395–404. 77 indexed citations
11.
Anderson, Douglas R. & Richard I. Avery. (2003). An even-order three-point boundary value problem on time scales. Journal of Mathematical Analysis and Applications. 291(2). 514–525. 25 indexed citations
12.
Avery, Richard I. & Douglas R. Anderson. (2002). Existence of three positive solutions to a second-order boundary value problem on a measure chain. Journal of Computational and Applied Mathematics. 141(1-2). 65–73. 37 indexed citations
13.
Anderson, Douglas R., Richard I. Avery, & Johnny Henderson. (2001). Corollary to the Five Functionals Fixed Point Theorem. Nonlinear studies. 8(4). 451–464. 4 indexed citations
14.
Anderson, Douglas R. & Richard I. Avery. (2001). Multiple positive solutions to a third-order discrete focal boundary value problem. Computers & Mathematics with Applications. 42(3-5). 333–340. 44 indexed citations
15.
Avery, Richard I., et al.. (2001). Twin solutions of boundary value problems for ordinary differential equations and finite difference equations. Computers & Mathematics with Applications. 42(3-5). 695–704. 90 indexed citations
16.
Avery, Richard I. & Allan Peterson. (2001). Three positive fixed points of nonlinear operators on ordered banach spaces. Computers & Mathematics with Applications. 42(3-5). 313–322. 287 indexed citations
17.
Avery, Richard I., John M. Davis, & Johnny Henderson. (2000). THREE SYMMETRIC POSITIVE SOLUTIONS FOR LIDSTONE PROBLEMS BY A GENERALIZATION OF THE LEGGETT-WILLIAMS THEOREM. SHILAP Revista de lepidopterología. 40 indexed citations
18.
Avery, Richard I. & Johnny Henderson. (2000). Three symmetric positive solutions for a second-order boundary value problem. Applied Mathematics Letters. 13(3). 1–7. 123 indexed citations
19.
Anderson, Douglas R., Richard I. Avery, & Allan Peterson. (1998). Three positive solutions to a discrete focal boundary value problem. Journal of Computational and Applied Mathematics. 88(1). 103–118. 48 indexed citations
20.
Avery, Richard I.. (1997). Multiple positive solutions to boundary value problems. Insecta mundi. 7 indexed citations

Rankless uses publication and citation data sourced from OpenAlex, an open and comprehensive bibliographic database. While OpenAlex provides broad and valuable coverage of the global research landscape, it—like all bibliographic datasets—has inherent limitations. These include incomplete records, variations in author disambiguation, differences in journal indexing, and delays in data updates. As a result, some metrics and network relationships displayed in Rankless may not fully capture the entirety of a scholar's output or impact.

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